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Information Journal Paper

Title

Commuting Conjugacy Class Graph of G when G / Z(G)~=D2n

Pages

  379-385

Abstract

 Suppose G is a finite non-abelian group and Γ(G) is a simple graph with the non-central Conjugacy classes of G as its vertex set. Two different noncentral Conjugacy classes C and B are assumed to be adjacent in Γ(G) if and only if there are elements a ∈ A and b ∈ B such that ab = ba. This graph is called the Commuting conjugacy class graph of G. In this paper, the structure of the Commuting conjugacy class graph of a group G with this property that Z(G)/G≅D_{2n} will be determined.

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